Solve (2u^(2) 8u-1) (-9u^(2)-4u 1)-(-u^(2)-2u^6)

Question

Simplify the expression

- 144 u^{5} - 64 u^{4} + 10 u^{2} + 4 u + 2 u^{6}

Evaluate

(2 u^{2} \times 8 u - 1) (- 9 u^{2} - 4 u \times 1) - (- u^{2} - 2 u^{6})

Multiply

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Multiply the terms

2 u^{2} \times 8 u

Multiply the terms

16 u^{2} \times u

Multiply the terms with the same base by adding their exponents

16 u^{2 + 1}

Add the numbers

16 u^{3}

(16 u^{3} - 1) (- 9 u^{2} - 4 u \times 1) - (- u^{2} - 2 u^{6})

Multiply the terms

(16 u^{3} - 1) (- 9 u^{2} - 4 u) - (- u^{2} - 2 u^{6})

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

(16 u^{3} - 1) (- 9 u^{2} - 4 u) + u^{2} + 2 u^{6}

Expand the expression

More Steps

Calculate

(16 u^{3} - 1) (- 9 u^{2} - 4 u)

Apply the distributive property

16 u^{3} (- 9 u^{2}) - 16 u^{3} \times 4 u - (- 9 u^{2}) - (- 4 u)

Multiply the terms

More Steps

Evaluate

16 u^{3} (- 9 u^{2})

Multiply the numbers

- 144 u^{3} \times u^{2}

Multiply the terms

- 144 u^{5}

- 144 u^{5} - 16 u^{3} \times 4 u - (- 9 u^{2}) - (- 4 u)

Multiply the terms

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Evaluate

16 u^{3} \times 4 u

Multiply the numbers

64 u^{3} \times u

Multiply the terms

64 u^{4}

- 144 u^{5} - 64 u^{4} - (- 9 u^{2}) - (- 4 u)

When there is - in front of an expression in parentheses change the sign of each term of the expression and remove the parentheses

- 144 u^{5} - 64 u^{4} + 9 u^{2} - (- 4 u)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 144 u^{5} - 64 u^{4} + 9 u^{2} + 4 u

- 144 u^{5} - 64 u^{4} + 9 u^{2} + 4 u + u^{2} + 2 u^{6}

Solution

More Steps

Evaluate

9 u^{2} + u^{2}

Collect like terms by calculating the sum or difference of their coefficients

(9 + 1) u^{2}

Add the numbers

10 u^{2}

- 144 u^{5} - 64 u^{4} + 10 u^{2} + 4 u + 2 u^{6}

Show Solution

Factor the expression

2 u (- 72 u^{4} - 32 u^{3} + 5 u + 2 + u^{5})

Evaluate

(2 u^{2} \times 8 u - 1) (- 9 u^{2} - 4 u \times 1) - (- u^{2} - 2 u^{6})

Multiply

More Steps

Multiply the terms

2 u^{2} \times 8 u

Multiply the terms

16 u^{2} \times u

Multiply the terms with the same base by adding their exponents

16 u^{2 + 1}

Add the numbers

16 u^{3}

(16 u^{3} - 1) (- 9 u^{2} - 4 u \times 1) - (- u^{2} - 2 u^{6})

Multiply the terms

(16 u^{3} - 1) (- 9 u^{2} - 4 u) - (- u^{2} - 2 u^{6})

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

(16 u^{3} - 1) (- 9 u^{2} - 4 u) + u^{2} + 2 u^{6}

Rewrite the expression

u (- 16 u^{3} + 1) (9 u + 4) + u (u + 2 u^{5})

Factor out u from the expression

u ((- 16 u^{3} + 1) (9 u + 4) + u + 2 u^{5})

Factor the expression

More Steps

Evaluate

(- 16 u^{3} + 1) (9 u + 4) + u + 2 u^{5}

Simplify

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Evaluate

(- 16 u^{3} + 1) (9 u + 4)

Apply the distributive property

- 16 u^{3} \times 9 u - 16 u^{3} \times 4 + 1 \times 9 u + 1 \times 4

Multiply the terms

- 144 u^{4} - 16 u^{3} \times 4 + 1 \times 9 u + 1 \times 4

Multiply the terms

- 144 u^{4} - 64 u^{3} + 1 \times 9 u + 1 \times 4

Any expression multiplied by 1 remains the same

- 144 u^{4} - 64 u^{3} + 9 u + 1 \times 4

Any expression multiplied by 1 remains the same

- 144 u^{4} - 64 u^{3} + 9 u + 4

- 144 u^{4} - 64 u^{3} + 9 u + 4 + u + 2 u^{5}

Add the terms

More Steps

Evaluate

9 u + u

Collect like terms by calculating the sum or difference of their coefficients

(9 + 1) u

Add the numbers

10 u

- 144 u^{4} - 64 u^{3} + 10 u + 4 + 2 u^{5}

Factor the expression

2 (- 72 u^{4} - 32 u^{3} + 5 u + 2 + u^{5})

u \times 2 (- 72 u^{4} - 32 u^{3} + 5 u + 2 + u^{5})

Solution

2 u (- 72 u^{4} - 32 u^{3} + 5 u + 2 + u^{5})

Show Solution